8. A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic
yards sold in a single order for concrete from this company, is shown in the table below.
|
X = the number of cubic yards
Probability
10
10.15
15
0.25
20
0.25
25
0.30
30
0.05
The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There
is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by
Y = 75X - 100. What is the standard deviation of Y?
(A) $332.00
(B) $432.00
(C) $532.00
(D) $1,343.75
(E) $1,400.00